Unified Description of Nuclear Mass, Decay, and Physical Property Models Based on Fundamental Calibration of Effective Quark Mass

This paper proposes a unified model that comprehensively explains nuclear mass, decay modes, and macroscopic electrical properties (conductors and insulators). The fundamental principle is that nuclear mass is described by the sum of the effective masses of constituent quarks (u, d) and a parabolic correction term dependent on the mass number A. We performed a rigorous calibration based on protons and Helium-4 nuclei to construct a model that reproduces the mass of stable even-even nuclei with high precision. Furthermore, we demonstrate that the deviation (Delta M) between the "theoretically most stable mass" derived from this model and the "measured mass" determines the driving force and mode of radioactive decay. Finally, we discovered that the sign and magnitude of this mass deviation have an extremely high correlation with the macroscopic electrical conductivity of matter (conductors, semiconductors, insulators). This presents a new law in which the microscopic structure of the atomic nucleus determines macroscopic physical properties.